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Finding the Fourth Proportional to 30,240.10, 45,323.70 and 15,441.40

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Solution

The fourth proportional to 30,240.10, 45,323.70 and 15,441.40 is: 23,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,240.10 : 45,323.70 = 15,441.40 : x
  2. Step 2: Convert to fraction form
    30,240.10/45,323.70 = 15,441.40/x
  3. Step 3: Cross multiply
    30,240.10x = 45,323.70 × 15,441.40
  4. Step 4: Simplify right side
    30,240.10x = 699,861,381.18
  5. Step 5: Solve for x
    x = 699,861,381.18/30,240.10
  6. Step 6: Final answer
    x = 23,143.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.